Least Common Multiple of 8084 and 8089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8084 and 8089 the smallest integer that is 65391476 that is divisible by both numbers.

Least Common Multiple (LCM) of 8084 and 8089 is 65391476.

LCM(8084,8089) = 65391476

LCM of 8084 and 8089

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8084 and 8089

LCM of 8084 and 8089 is 65391476

Least common multiple can be found by multiplying the highest exponent prime factors of 8084 and 8089. First we will calculate the prime factors of 8084 and 8089.

Prime Factorization of 8084


2 8084
2 4042
43 2021
47 47
1

Prime factors of 8084 are 2, 43,47. Prime factorization of 8084 in exponential form is:

8084 = 22×431×471

Prime Factorization of 8089


8089 8089
1

Prime factors of 8089 are 8089. Prime factorization of 8089 in exponential form is:

8089 = 80891

Now multiplying the highest exponent prime factors to calculate the LCM of 8084 and 8089.

LCM(8084,8089) = 22×431×471×80891
LCM(8084,8089) = 65391476

Factors of 8084

List of positive integer factors of 8084 that divides 8084 without a remainder.

1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084

Factors of 8089

List of positive integer factors of 8089 that divides 8089 without a remainder.

1, 8089

Least Common Multiple of 8084 and 8089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8084 and 8089, than apply into the LCM equation.

GCF(8084,8089) = 1
LCM(8084,8089) = ( 8084 × 8089) / 1
LCM(8084,8089) = 65391476 / 1
LCM(8084,8089) = 65391476

Properties of LCM 8084 and 8089

(i) The LCM of 8089 and 8084 is associative

LCM of 8084 and 8089 = LCM of 8089 and 8084

Related Least Common Multiples of 8084

Related Least Common Multiples of 8089

Frequently Asked Questions on LCM of 8084 and 8089

1. What is the LCM of 8084 and 8089?

Answer: LCM of 8084 and 8089 is 65391476.

2. What are the Factors of 8084?

Answer: Factors of 8084 are 1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084. There are 12 integers that are factors of 8084. The greatest factor of 8084 is 8084.

3. What are the Factors of 8089?

Answer: Factors of 8089 are 1, 8089. There are 2 integers that are factors of 8089. The greatest factor of 8089 is 8089.

4. How to Find the LCM of 8084 and 8089?

Answer:

Least Common Multiple of 8084 and 8089 = 65391476

Step 1: Find the prime factorization of 8084

8084 = 2 x 2 x 43 x 47

Step 2: Find the prime factorization of 8089

8089 = 8089

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 65391476 = 2 x 2 x 43 x 47 x 8089

Step 4: Therefore, the least common multiple of 8084 and 8089 is 65391476.